Question

The area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the endpoints of its latus rectum is ________ 

(A) 22 sq. units 

(B) 20 sq. units 

(C) 18 sq. units 

(D) 14 sq. units

Answer 1

Correct option is: (C) 18 sq. units

x² = 12y 

4b = 12 

b = 3

Area of triangle = 1/2 × AB × OS

= 1/2 × 4a × a

= 1/2 × 12 × 3

= 18 sq. units